An Improved Nyquist–Shannon Irregular Sampling Theorem From Local Averages

DOI10.1109/TIT.2012.2199959zbMath1364.94263DBLPjournals/tit/SongLPHL12OpenAlexW2009568739WikidataQ62794944 ScholiaQ62794944MaRDI QIDQ2989803

Chunping Hou, Yanwei Pang, Bei Liu, Xuelong Li, Zhan-jie Song

Publication date: 8 June 2017

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tit.2012.2199959

Mathematics Subject Classification ID

Sampling theory in information and communication theory (94A20)

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Nonuniform sampling and approximation in Sobolev space from perturbation of the framelet system ⋮ Average sampling and reconstruction in shift-invariant subspaces of mixed Lebesgue space L^p,q(ℝ^d+1) ⋮ Approximation of Nonhomogeneous Random Field from Local Averages ⋮ Semi-Average Sampling for Shift-Invariant Signals in a Mixed Lebesgue Space ⋮ Periodic Nonuniform Dynamical Sampling in ℓ²(ℤ) and Shift-Invariant Spaces ⋮ Reconstruction of spline spectra-signals from generalized sinc function by finitely many samples ⋮ Multivariate Dynamical Sampling in ℓ2(ℤd) and Shift-Invariant Spaces ⋮ Reconstruction of analytic signal in Sobolev space by framelet sampling approximation ⋮ Average sampling and reconstruction in shift-invariant spaces and variable bandwidth spaces ⋮ Average Sampling Theorems on Multidimensional Random Signals

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